摘要
本文研究参数边界条件下Sturm-Liouville算子的逆谱问题.利用Weyl函数的结果,证明对固定的n,n∈N_0,及不同的b_k,谱集合{λ_n(q,b_k)}_(k=1)^(+∞)能够唯一确定[0,1]上的势函数q(x),这个定理是文献[4]结果的本质推广.
Abstract In this paper, we discuss the inverse spectral problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. For each fixed n, n ∈N0and various real number bk, we show that the spectral set {λn（q,bk）}＋∞k=1 is sufficient to determine the potential q（x） on [0, 1] by the known result on the Weyl function, which is a generalization of the result in Ref [4].
作者
王於平
WANG Yuping(Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China)
出处
《应用泛函分析学报》
2017年第3期294-298,共5页
Acta Analysis Functionalis Applicata
关键词
逆谱问题
边值问题
参数边界条件
势函数
inverse spectral problem
boundary value problem
boundary conditiondependent on the spectral parameter
potential
